 # ML Aggarwal Solutions Class 10 Mathematics Solutions for Similarity Exercise 13.3 in Chapter 13 - Similarity

A model of a ship is made to a scale of 1 : 200.

If the area of the deck of the ship is 160000 m², find the area of the deck of the model.

Solution:-

The ratio between comparable measurements of an object and a representation of that object is known as a scale factor in mathematics. The copy will be larger if the scaling factor is a whole number. A fractional scaling factor means that the duplicate will be smaller.

From the question it is given that, a model of a ship is made to a scale of 1 : 200

Given, the area of the deck of the ship is 160000 m²

Then, area of deck of the model = 160000 × (1/200)2

= 160000 × (1/40000)

= 4 m2

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